1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
rodikova [14]
3 years ago
10

Use the provided information to write the standard form equation of the parabola.

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
3 0

Answer:

<h3>            f(x) = x² - 6x + 3</h3>

Step-by-step explanation:

Parabola f(x) = ax² + bx + c passing through point (x₁, y₁) means if x=x₁ then f(x)=f(x₁)=y₁

(0, 3) ⇒  3=a·0²+b·0+c    ⇒   c=3

f(x) = ax² + bx + 3

(4, -5)  ⇒  -5 = a·4² + b·4 + 3  

               -5 =  16a + 4b + 3

              -4b = 16a + 8

              <u>  b = - 4a - 2</u>

(-1, 10)  ⇒  10 = a·(-1)² + b·(-1) + 3

                10 = a - b + 3

                <u> b = a - 7</u>

a - 7 = - 4a - 2

5a = 5

a = 1

b = 1 - 7 = - 6

So the equation:

                        <u> f(x) = x² - 6x + 3</u>

You might be interested in
How long would it take to drive 300 miles with a constant speed of 176.1
Oxana [17]

Answer:

It would take about 1.7 hours

Step-by-step explanation:

divide 300 by 176.1

7 0
3 years ago
What is the probability of flipping a coin and getting tails three times in a row
Artemon [7]
If im not mistaken its a 1/8 probability
7 0
3 years ago
Use algebra to find the point at which the line f(x)=-5/3x+4/3 intersects the line h(x)=1/5x+4/3
Sedaia [141]

Answer:

The point x=0 y=4/3 I.e (0,4/3)

Step-by-step explanation:

To find interpoint we use this knowledge

For the same value of x, functions f(x) and g(x) have the same value. So we need to find x. We will find it ftom this equation:

f(x)=h(x) i.e.

-5/3x+4/3=1/5x+4/3

-5/3x-1/5x=4/3-4/3

-28/15x=0

So we can conclude that x=0

So f(0)=h(0)=4/3

6 0
3 years ago
Find 4/5 ÷ 16/17. Write your answer as a fraction in simplest form.
Sliva [168]

Answer:

0.85

Step-by-step explanation:

Hope this helps!

Need explantion ask me

5 0
3 years ago
Read 2 more answers
Slove: 3x + 4 - 2x - x = 4x - 5​
MAXImum [283]

Answer:

×=3

Step-by-step explanation:

you have to do 3×-2×=1x

and than the formal look like ×+4=4×-5

and move × to other side so that become 3x

and move 5 to +5 so that become 9

the formal look like 9=3×

and divide 3/9 is your answer

×=3

8 0
3 years ago
Read 2 more answers
Other questions:
  • If Shelly wants to earn the most interest on her account, but knows she can only keep $100 in her account, which bank's checking
    7·1 answer
  • Shade the grid to represent the<br> decimal 0.8<br> Write the decimal in words.
    7·1 answer
  • I would greatly appreciate your help.
    6·1 answer
  • What is the slope of a horizontal line?
    5·1 answer
  • Connor made a graph showing the relationship between the day of the week he worked, Monday through Saturday, and the number of s
    10·1 answer
  • The acme car company sold 46 vehicles in june. How many compact cars were sold in june? Write an equation using x as your varibl
    15·1 answer
  • A bag of marbles has 5 blue marbles, 3 red marbles, and 6 yellow marbles. A marble is drawn from the bag
    7·1 answer
  • N x 5 = I'm very Smart *wink wink* I could just search it up I'm not gonna though okay
    14·1 answer
  • How do I solve this??
    6·2 answers
  • A large washer has an outer radius of 10mm and a hole with a diameter of 14mm. What is the area of the washer? (Use π =3.14)
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!